The a priori and a posteriori error estimates of Crouzeix–Raviart element for the fluid–solid vibration problem
From MaRDI portal
Publication:5097823
DOI10.1080/00207160.2021.2020762OpenAlexW4200436738MaRDI QIDQ5097823
Yanjun Li, Yidu Yang, JiaYu Han, Hai Bi
Publication date: 1 September 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2021.2020762
a posteriori error estimatea priori error estimatefluid-solid vibration problemlower bound of eigenvaluenonconforming CR finite element
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations.
- A two-grid method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem
- An hp finite element adaptive scheme to solve the Laplace model for fluid-solid vibrations
- Eigenfrequencies of a tube bundle placed in a confined fluid
- Finite element methods (Part 1)
- Quality assessment of the a-posteriori error estimation in finite elements
- A finite element solution of an added mass formulation for coupled fluid-solid vibrations
- Asymptotic lower bounds for eigenvalues by nonconforming finite element methods
- Natural frequencies of tube bundle in an incompressible fluid
- Guaranteed lower eigenvalue bounds for two spectral problems arising in fluid mechanics
- Non-conforming Crouzeix-Raviart element approximation for Stekloff eigenvalues in inverse scattering
- A posteriori error estimates for nonconforming approximations of Steklov eigenvalue problems
- A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem
- Residual-based a posteriori error estimate for interface problems: Nonconforming linear elements
- Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates
- Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements
- Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems
- Discontinuous Galerkin Finite Element Methods for Interface Problems: A Priori and A Posteriori Error Estimations
- A locally divergence-free nonconforming finite element method for the time-harmonic Maxwell equations
- Analysis of the Efficiency of an a Posteriori Error Estimator for Linear Triangular Finite Elements
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Asymptotic Analysis Relating Spectral Models in Fluid--Solid Vibrations
- A Posteriori and a Priori Error Analysis for Finite Element Approximations of Self-Adjoint Elliptic Eigenvalue Problems
- Forty Years of the Crouzeix‐Raviart element